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What is the optimal solution to the following NLP (Use K-T conditions and the multiplier X for the constraint)? Max Z = X₁ X2 s. t. 4x2 + 4x2 ≤1 Select one: O a. O b. O O d. - - X₁ = X2 X1 X₁ = √2/₁ NIS X1 = =/X₂ || x₂ = = 2²2₁2=1/²2 √2 -2₁X=1/2 λ - || 114 x₁ = 1/2 X ₂ = − 1²2, ^ = 2²/12 - X1 X2

What is the optimal solution to the following NLP (Use K-T conditions and the multiplier X for the constraint)? Max Z = X₁ X2 s. t. 4x2 + 4x2 ≤1 Select one: O a. O b. O O d. - - X₁ = X2 X1 X₁ = √2/₁ NIS X1 = =/X₂ || x₂ = = 2²2₁2=1/²2 √2 -2₁X=1/2 λ - || 114 x₁ = 1/2 X ₂ = − 1²2, ^ = 2²/12 - X1 X2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What is the optimal solution to the following NLP (Use K-T conditions and the multiplier X for the constraint)? Max z = X₁ X2 s. t. 4x2 + 4x2 < 1 Select one: O a. O b. O ö O d. √2 √2 X1 = 1-4x₂ - - ₁2 - 1/2 x₁ - ²₁x₂-√²,2-₂ = X2 = = - 1 = 2 × 2 = − 1, λ = 11 X1 - x₁ = 1 / ² × ₂ = -1/² ₁2 = 1²/01 λ X1 2
Transcribed Image Text:What is the optimal solution to the following NLP (Use K-T conditions and the multiplier X for the constraint)? Max z = X₁ X2 s. t. 4x2 + 4x2 < 1 Select one: O a. O b. O ö O d. √2 √2 X1 = 1-4x₂ - - ₁2 - 1/2 x₁ - ²₁x₂-√²,2-₂ = X2 = = - 1 = 2 × 2 = − 1, λ = 11 X1 - x₁ = 1 / ² × ₂ = -1/² ₁2 = 1²/01 λ X1 2
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